Journal
MULTISCALE MODELING & SIMULATION
Volume 4, Issue 2, Pages 460-489Publisher
SIAM PUBLICATIONS
DOI: 10.1137/040605412
Keywords
iterative regularization; total variation; Bregman distances; denoising; deblurring
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We introduce a new iterative regularization procedure for inverse problems based on the use of Bregman distances, with particular focus on problems arising in image processing. We are motivated by the problem of restoring noisy and blurry images via variational methods by using total variation regularization. We obtain rigorous convergence results and effective stopping criteria for the general procedure. The numerical results for denoising appear to give significant improvement over standard models, and preliminary results for deblurring/denoising are very encouraging.
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